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Finding the Third Proportional to 3,077,175.45 and 6,696,180.14

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Solution

The third proportional to 3,077,175.45 and 6,696,180.14 is: 14,571,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,175.45 : 6,696,180.14 = 6,696,180.14 : x
  2. Step 2: Convert to fraction form
    3,077,175.45/6,696,180.14 = 6,696,180.14/x
  3. Step 3: Cross multiply
    3,077,175.45x = 6,696,180.14 × 6,696,180.14
  4. Step 4: Simplify right side
    3,077,175.45x = 44,838,828,475,700.65
  5. Step 5: Solve for x
    x = 44,838,828,475,700.65/3,077,175.45
  6. Step 6: Final answer
    x = 14,571,424.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.